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Tag: single precision floating point

How to Convert a Decimal Number to a Binary Single-precision Floating Point Number

Posted on March 13, 2023June 19, 2025 By vlsifacts No Comments on How to Convert a Decimal Number to a Binary Single-precision Floating Point Number

In order to convert a decimal number to a binary single-precision floating point number, first of all, we need to convert the decimal number to its binary equivalent (unsigned magnitude form). A proper sign should be added based on the sign of the decimal number. But remember, we should not perform the signed representation. Then…

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Digital Electronics

How to Determine the Binary Value from a Single-precision Floating Point Representation

Posted on March 13, 2023June 19, 2025 By vlsifacts No Comments on How to Determine the Binary Value from a Single-precision Floating Point Representation

In the previous article, we have seen the representation of a binary number in IEEE 754 single-precision floating point format. In this article, we will do the reverse process, which means determining the value of a binary number from a floating-point representation. For this, we will use the following formula: Binary Number = (-1)S(1 +…

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Digital Electronics

Single-Precision IEEE 754 Representation for Floating Point Numbers

Posted on March 12, 2023June 19, 2025 By vlsifacts No Comments on Single-Precision IEEE 754 Representation for Floating Point Numbers

In the previous article, we got an overall idea about the representation of floating point number. In this article, we will specifically focus on the single-precision IEEE 754 representation of floating point numbers. Single precision format represents any floating point number in 32 bits. The following figure shows all the parts of the single precision…

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Digital Electronics

Floating Point Format

Posted on March 12, 2023June 19, 2025 By vlsifacts No Comments on Floating Point Format

Imagine you have a processor with registers of size 32 bits. Can the processor store a number larger than 32 bits in one register? It is possible if the number is represented in floating point format. The floating point format is useful in representing very large and very small integer numbers without increasing the number…

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Digital Electronics

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